3848406114816 has 1280 divisors, whose sum is σ = 12829578854400. Its totient is φ = 1134762393600.

The previous prime is 3848406114719. The next prime is 3848406114851. The reversal of 3848406114816 is 6184116048483.

3848406114816 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 4 + 0 + 611 + 4 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35966412235 + ... + 35966412341.

It is an arithmetic number, because the mean of its divisors is an integer number (10023108480).

Almost surely, 2^{3848406114816} is an apocalyptic number.

3848406114816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848406114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414789427200).

3848406114816 is an abundant number, since it is smaller than the sum of its proper divisors (8981172739584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3848406114816 is a wasteful number, since it uses less digits than its factorization.

3848406114816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 3848406114816 in words is "three trillion, eight hundred forty-eight billion, four hundred six million, one hundred fourteen thousand, eight hundred sixteen".